Properties of the Number 13702

Thirteen Thousand Seven Hundred Two

Basics

Value: 13701 → 13702 → 13703

Parity: even

Prime: No

Previous Prime: 13697

Next Prime: 13709

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 2 × 13 × 17 × 31

Divisors: 1, 2, 13, 17, 26, 31, 34, 62, 221, 403

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11010110000110

Octal: 32606

Duodecimal: 7B1A

Hexadecimal: 3586

Square: 187744804

Square Root: 117.05554237198682

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

Number of partitions of n with nonnegative rank. A64174

G.f.: 1/((1-x)*(1-x²)*(1-x³)²*(1-x⁴)*(1-x⁵)). A3402

Composite squarefree numbers n such that the ratio (n + 1/2)/(p(i) + 1/2) is an integer, where p(i) are the prime factors of n. A226020

Number of gap-free but not complete compositions of n. A251729

a(n) = ∑_k=0..n A109613(k)*A005843(n-k). A171218

The number of binary pattern classes in the (2,n)-rectangular grid with 3 '1's and (2n-3) '0's: two patterns are in same class if one of them can be obtained by a reflection or 180-degree rotation of the other. A225972

Triangle read by rows: T(n,k) is the number of binary sequences of length n containing k subsequences 001 (n,k>=0). A118424

Numbers n such that sum of squares of digits of n equals the sum of prime divisors of n. A217390

a(n) = 169·n² + 13. A158548

Number of ordered triples (w,x,y) with all terms in {1,...,n} and 2w²>=x²+y². A211803